122310400 has 108 divisors (see below), whose sum is σ = 313651800. Its totient is φ = 47165440.

The previous prime is 122310319. The next prime is 122310413. The reversal of 122310400 is 4013221.

122310400 is nontrivially palindromic in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185271 + ... + 185929.

Almost surely, 2^122310400 is an apocalyptic number.

122310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156825900).

122310400 is an abundant number, since it is smaller than the sum of its proper divisors (191341400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122310400 is an equidigital number, since it uses as much as digits as its factorization.

122310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 122310400 is about 11059.4032388732. The cubic root of 122310400 is about 496.3878340214.

Adding to 122310400 its reverse (4013221), we get a palindrome (126323621).

The spelling of 122310400 in words is "one hundred twenty-two million, three hundred ten thousand, four hundred".